Answer: The number of pieces is 38.
Step-by-step explanation: Given that Marge has [tex]14\dfrac{2}{5}[/tex] feet of chain that she wants to cut into [tex]\dfrac{3}{8}[/tex] foot long pieces.
We are to find the number of pieces that she will have after cutting.
Let, 'n' be the number of pieces that she can make.
Therefore, we must have
[tex]\dfrac{3}{8}\times n=14\dfrac{2}{5}\\\\\\\Rightarrow \dfrac{3}{8}n=\dfrac{72}{5}\\\\\\\Rightarrow n=\dfrac{72\times 8}{3\times5}\\\\\\\Rightarrow n=\dfrac{576}{15}\\\\\\\Rightarrow n=38.4.[/tex]
Thus, she can make 38 pieces from the chain.
